报告人：王啸林
报告时间：2022年9月27日
报告文章：Wasserstein-2 bounds in normal approximation under local dependence（原作者Xiao Fang)
文章摘要：We obtain a general bound for the Wasserstein-2 distance in normal approximation for sums of locally dependent random variables. The proof is based on an asymptotic expansion for expectations of second-order differentiable functions of the sum. We apply the main result to obtain Wasserstein-2 bounds in normal approximation for sums of m-dependent random variables, U-statistics and subgraph counts in the Erd˝os- Rényi random graph. We state a conjecture on Wasserstein-p bounds for any positive integer p and provide supporting arguments for the conjecture.

 

联系人：林正炎（zlin@zju.edu.cn）